Thanks all for your opinions and insights. I agree that it is highly questionable, minimally, to have my _new_ machine using a twice-fixed tire, and have conveyed my unhappiness about this with the dealer. At this point he assures me his guys have gone over this poorly assembled blower with a fine tooth comb and that he will stand by the work and the now tube-bearing tire.
Given that they have my money, that the manufacturer (BillyGoat) doesn't even provide phone numbers to call, the dealer appears to be my sole remedy. If it works without issue going forward I'll accept fate, if it fails me one more time in the near future the dealer will be getting an earful and public forums will have his name/business associated with this tale of substandard product quality if he fails to deliver a suitable remedy. I'll probably post a BillyGoat review in a lawnsite forum, I was under the impression it was a premium brand (them and Little Wonder) of blower, but clearly they dropped the ball building this unit and I am very unimpressed.
At this point I hold the manufacturer more to blame than the dealer, and the dealer, while not replacing the tire, _seems_ to be trying to deal effectively with the situation.
Of course a pandemic year makes all this even more difficult, there weren't many local dealers of either BillyGoat or LittleWonder that had much in the way of stock, or could even commit to a decent timeline of when they could get units by ordering. So part of my purchase was a "bird in the hand" mentality since I had messes to clean up ASAP.